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Abstract and Applied Analysis
Volume 2013, Article ID 171732, 7 pages
Research Article

A Direct Eulerian GRP Scheme for the Prediction of Gas-Liquid Two-Phase Flow in HTHP Transient Wells

1Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, China
2College of Mathematics, Chengdu University of Information Technology, Chengdu 610225, China
3Research School of Engineering Technology, China Petroleum and Chemical Corporation, Deyang 618000, China

Received 10 September 2013; Accepted 17 October 2013

Academic Editor: Mohamed Fathy El-Amin

Copyright © 2013 Jiuping Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A coupled system model of partial differential equations is presented in this paper, which concerns the variation of the pressure and temperature, velocity, and density at different times and depths in high temperature-high pressure (HTHP) gas-liquid two-phase flow wells. A new dimensional splitting technique with Eulerian generalized riemann problem (GRP) scheme is applied to solve this set of conservation equations, where Riemann invariants are introduced as the main ingredient to resolve the generalized Riemann problem. The basic data of “X well” (HTHP well), 7100 m deep, located in Southwest China, is used for the case history calculations. Curve graphs of pressures and temperatures along the depth of the well are plotted at different times. The comparison with the results of Lax Friedrichs (LxF) method shows that the calculating results are more fitting to the values of real measurement and the new method is of high accuracy.